Prime p₀= 4387577956320858161 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: [SG-2W]Kurzer
db: batch=85, k=10, 2 34 2 40 2

SPT(16)	4387576608112299253	0 60 64 100 130 136 138 156 178 196 198 204 234 270 274 334	-1348208558908
SPT(16)	4387576711782747113	0 8 24 44 54 74 80 98 180 198 204 224 234 254 270 278	-1244538111048
STPT(10)	4387577137581050009	0 2 42 44 60 62 78 80 120 122	-818739808152
STPT(10)	4387577199787988411	0 2 6 8 18 20 30 32 36 38	-756532869750
SPT(16)	4387577639301012697	0 34 52 66 112 132 136 154 192 210 214 234 280 294 312 346	-317019845464
SPT(16)	4387577668561503347	0 26 42 54 60 72 114 116 180 182 224 236 242 254 270 296	-287759354814
STPT(10)	4387578173275526027	0 2 30 32 42 44 54 56 84 86	216954667866
SPT(16)	4387578332864447531	0 42 56 98 110 128 132 140 198 206 210 228 240 282 296 338	376543589370
SPT(16)	4387578674333241217	0 6 52 76 120 136 162 186 220 244 270 286 330 354 400 406	718012383056
STPT(10)	4387579083603070097	0 2 12 14 42 44 72 74 84 86	1127282211936
SPT(16)	4387579137560950321	0 18 28 60 90 112 118 148 180 210 216 238 268 300 310 328	1181240092160